Highest Common Factor of 992, 9363, 9529 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 992, 9363, 9529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 9363, 9529 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 992, 9363, 9529 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 992, 9363, 9529 is 1.
HCF(992, 9363, 9529) = 1
HCF of 992, 9363, 9529 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 9363, 9529 is 1.
Highest Common Factor of 992,9363,9529 is 1
Step 1: Since 9363 > 992, we apply the division lemma to 9363 and 992, to get
9363 = 992 x 9 + 435
Step 2: Since the reminder 992 ≠ 0, we apply division lemma to 435 and 992, to get
992 = 435 x 2 + 122
Step 3: We consider the new divisor 435 and the new remainder 122, and apply the division lemma to get
435 = 122 x 3 + 69
We consider the new divisor 122 and the new remainder 69,and apply the division lemma to get
122 = 69 x 1 + 53
We consider the new divisor 69 and the new remainder 53,and apply the division lemma to get
69 = 53 x 1 + 16
We consider the new divisor 53 and the new remainder 16,and apply the division lemma to get
53 = 16 x 3 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 992 and 9363 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(53,16) = HCF(69,53) = HCF(122,69) = HCF(435,122) = HCF(992,435) = HCF(9363,992) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9529 > 1, we apply the division lemma to 9529 and 1, to get
9529 = 1 x 9529 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9529 is 1
Notice that 1 = HCF(9529,1) .
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Frequently Asked Questions on HCF of 992, 9363, 9529 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 992, 9363, 9529?
Answer: HCF of 992, 9363, 9529 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 9363, 9529 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 9363, 9529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.